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cricket20 [7]
3 years ago
12

A human body that is performing light work generates about 650 BTUs of body heat per hour. If a storage room that is 20 ft × 25

ft × 10 ft is being organized by 4 people, how many BTUs per cubic foot do they produce in 4 hours? (to the nearest tenth)
Mathematics
2 answers:
lesya [120]3 years ago
5 0
There is 650 BTUs per hour/person and 4 people so that is a total of 2600 BTUs. In 4 hours it would be a total of 10400 BTUs. The volume of the storage room is 20 x25 x10 ft or 5000 cu ft. So 10400/5000 = 2.08 BTUs per cubic foot. 
Gekata [30.6K]3 years ago
5 0

Answer:

you are correct but you'll have to round it because the answer doesn't show that so it'll be 2.1 BTUs/ft3


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3 0
3 years ago
12. The Opera is collecting monies in advance for ticket sales. The tickets cost $17.50 each.
Debora [2.8K]

Answer:

The number of tickets they have sold in advance are summed up with the following equation and solution:

Equation: \frac{6842.50}{17.50} [the final answer should be in dollars]

Solution: The Opera sold 391 tickets in advance.

Step-by-step explanation:

First: Review some background information:

Let's see what the problem gives us to answer it. I'll bold out the important parts:

The Opera is collecting monies in advance for ticket sales. The tickets cost $17.50 each. If they have collected $6842.50 already, then how many tickets have they sold in advance?

We know how much the tickets cost and how much money they have earned from selling tickets, we can find out how much tickets they have sold.

Second: Solve the problem:

We can solve this problem using many ways, but I'm just going to pick one. We will use proportions to answer this. Now thoughts might be going through your head like this: What is this guy saying? What in the world is proportions? Well hopefully you learn from this example (Please don't take offense if you <em>do</em> know how to do proportions).

First we set up two fractions. One ticket costs $17.50, so we will use it to set up our first fraction: \frac{1}{17.50}. We don't know how many tickets all together cost $6842.50 so we will use the variable: x. Now, we can set up our second fraction. x tickets costs $6842.50 so our second fraction will be: \frac{x}{6842.50}. Now we must use cross multiplication. We multiply the numerator of the first fraction times the denominator of the second fraction, and then we multiply the denominator o the first fraction times the numerator of the second fraction. That's what we would do usually. But now, since we have a variable, we must use cross multiplication to solve for this variable. So we multiply the the numerator of the first fraction times the denominator of the other fraction and then we divide that answer times the denominator of the first fraction (You don't have to set it up like this).So let's solve this question:

\frac{1}{17.50}  \frac{x}{6842.50}

1 x 17.50 = 17.50

6842.50 ÷ 17.50 = 391

So our equation is 6842.50 ÷ 17.50, and our solution is 391 tickets

Topic: Proportions

6 0
3 years ago
Find the equation of the linear function represented by the table below in slope-intercept form.
Vitek1552 [10]

Answer:

y = 10x - 8

Step-by-step explanation:

The slope is "m", or how much the y-value changes on a line when the x-value changes by one.

The y-intercept is the y value of the line when it is intersecting the y-axis, or when the x-value is 0.

To find the slope, take 2 points from the graph and plug into the slope formula:

\frac{y_2-y_1}{x_2-x\\_1}

I'll use (0, -8) and (1,2).

Plug into the formula.

\frac{2--8}{1-0}

\frac{10}{1}

10

Slope = 10

To find the y-intercept, look at the table. What is the y-value when the x-value is equal to 0?

-8

y-intercept: -8

Slope-Intercept form:

y = mx + b

m: slope

b: y-intercept

y, x: leave as variables

y = 10x - 8

4 0
1 year ago
According to a 2015 Census Bureau survey, 75,511 of the 822,959 residents of Baltimore County, Maryland, were enrolled in colleg
quester [9]

Answer:

73.4

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P_{enrollment}=\frac{Enrollment}{Total \ Residents}\\\\=\frac{75511}{822959}\\\\=0.09176\\\\p=0.09176

#We know that this is a binomial distribution with p=0.09176 and n=800, Expected value is calculated as:

E(X)=np, n=800, p=0.09176\\\\=0.09176\times 800\\\\=73.4

Hence the expected value E(X)=73.4

6 0
4 years ago
Determine the length of c in triangle shown Need help today pleasee
Gre4nikov [31]

Answer:

p= 7

b= 4

h = ?

we have,

h²=P²+b²

h²=7²+4²

h²=49+16

h²=65

h=√65

6 0
3 years ago
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